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math.DS2009
Weierstrass integrability of differential equations
Jaume Giné, Maite Grau
The integrability problem consists in finding the class of functions a first integral of a given planar polynomial differential system must belong to. We recall the characterizatio…
math.DS2007★ 1 cited
Linearizable ordinary differential equations
Hector Giacomini, Jaume Gine, Maite Grau
Our purpose in this paper is to study when a planar differential system polynomial in one variable linearizes in the sense that it has an inverse integrating factor which can be co…
math.DS2007
On the cyclicity of weight-homogeneous centers
Lubomir Gavrilov, Jaume Gine, Maite Grau
Let W be a weight-homogeneous planar polynomial differential system with a center. We find an upper bound of the number of limit cycles which bifurcate from the period annulus of W…